Elliptic curve search results

Results (5 matches)

  Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
46410.ck8	46410cn5	46410.ck	46410cn	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$- 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{16} \cdot 17^{2}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.25	2B	$742560$	$768$	$13$	$1$	$4$	$2$	$2$	$12582912$	$3.472786$	$14651516183052242700771495839/8480668142378708755560900$	$1.07097$	$6.03562$	$[1, 0, 0, 50978410, -2026455000]$	$y^2+xy=x^3+50978410x-2026455000$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 16.96.0-16.j.1.2, 120.96.0.?, $\ldots$	$[]$
139230.j8	139230dy6	139230.j	139230dy	$8$	$16$	$2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$- 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{16} \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.60	2B	$742560$	$768$	$13$	$1.472952509$	$1$		$4$	$100663296$	$4.022095$	$14651516183052242700771495839/8480668142378708755560900$	$1.07097$	$6.03231$	$[1, -1, 0, 458805690, 54714285000]$	$y^2+xy=x^3-x^2+458805690x+54714285000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 12.24.0-4.d.1.1, 16.48.0.j.1, $\ldots$	$[(44370, 10358640)]$
232050.bf8	232050bf5	232050.bf	232050bf	$8$	$16$	$2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17$	$- 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{16} \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.60	2B	$742560$	$768$	$13$	$1$	$1$		$0$	$301989888$	$4.277504$	$14651516183052242700771495839/8480668142378708755560900$	$1.07097$	$6.03098$	$[1, 1, 0, 1274460250, -253306875000]$	$y^2+xy=x^3+x^2+1274460250x-253306875000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 20.24.0-4.d.1.1, $\ldots$	$[]$
324870.dd8	324870dd6	324870.dd	324870dd	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17$	$- 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13^{16} \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.60	2B	$742560$	$768$	$13$	$28.04291033$	$1$		$0$	$603979776$	$4.445740$	$14651516183052242700771495839/8480668142378708755560900$	$1.07097$	$6.03016$	$[1, 1, 1, 2497942089, 697572007089]$	$y^2+xy+y=x^3+x^2+2497942089x+697572007089$	2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 28.24.0-4.d.1.1, $\ldots$	$[(1031345031099/16985, 15231248043631580548/16985)]$
371280.cy8	371280cy6	371280.cy	371280cy	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$- 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{16} \cdot 17^{2}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.28	2B	$742560$	$768$	$13$	$1$	$4$	$2$	$3$	$301989888$	$4.165932$	$14651516183052242700771495839/8480668142378708755560900$	$1.07097$	$5.70556$	$[0, -1, 0, 815654560, 129693120000]$	$y^2=x^3-x^2+815654560x+129693120000$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 16.96.0-16.j.1.9, 120.96.0.?, $\ldots$	$[]$

  Download displayed columns for results to